Renormalization in a Lorentz-violating model and higher-order operators

Nascimento, J. R.; Petrov, A. Yu.; Reyes, Carlos M.

doi:10.1140/epjc/s10052-018-6018-3

Cited by 12 publications

(8 citation statements)

References 77 publications

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“…This contributions amounts to k (4) c μν = C 7 a μ a ν in the SME conventions put forth in [65]. Actually, the aether term for the scalar field is the simplest Lorentz-breaking contribution for the scalar sector in the four-dimensional space-time, and in [66], it has been shown to arise also for the Lorentz-breaking spinor-scalar theory with the usual Yukawa coupling, but with Myers-Pospelovlike higher-derivative modified kinetic term for the spinor, being finite in this case. Another interesting coupling in this sector is the pseudoscalar one,…”

Section: Spinor-scalar LV Couplingsmentioning

confidence: 99%

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Radiative corrections and Lorentz violation

2020

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Radiative corrections in Lorentz violating (LV) models have already received a lot of attention in the literature in recent years, with many instances where a LV operator in one sector of the Standard Model Extension (SME) generates, via loop corrections, one of the LV coefficients in the photon sector, which is probably the most understood and well constrained part of the SME. In many of these works, however, the now standard notation of the SME is not used, which can obscure the comparison of different results, and their possible phenomenological relevance. In this work, we fill this gap, trying to build up a more general perspective on the topic, bringing many of the results to the SME conventional notation and commenting on their possible phenomenological relevance. We uncover one example where a result already presented in the literature can be used to place a stronger bound on the temporal component of the b μ coefficient of the fermion sector of the SME.

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Section: Spinor-scalar LV Couplingsmentioning

confidence: 99%

“…Again, this contribution diverges. Also, in [66], the Lorentz-breaking extension of the Yukawa model with the extra term…”

Section: Contributions In the Spinor Sectormentioning

confidence: 99%

Radiative corrections and Lorentz violation

2020

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“…The first bounds on the symmetrybreaking terms for the Higgs field were obtained in [31], and quantum loops effects were considered in Refs. [32][33][34][35][36]. For further effects in violating scalar field theories, see also the applications in the Yukawa potential [30], effective potential [37], Casimir effect [38], defect structures [39], and Bose-Einstein condensates [40].…”

Section: Derivation Of One-loop Divergencesmentioning

confidence: 99%

One-loop renormalization of Lorentz and CPT -violating scalar field theory in curved spacetime

Netto

2018

Phys. Rev. D

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The one-loop divergences for the scalar field theory with Lorentz and/or CPT breaking terms are obtained in curved spacetime. We analyze two separate cases: a minimal coupled scalar field with gravity and a nonminimal one. For the minimal case with a real scalar field, the counterterms are evaluated in a nonperturbative form in the CPT-even parameter through a redefinition of a space-time metric. In the most complicated case of a complex scalar field nonminimally interacting with gravity, the solution for the divergences is obtained in the first order in the weak Lorentz violating parameter. The necessary form of the vacuum counterterms indicate the most important structures of Lorentz and CPT violations in the pure gravitational sector of the theory. The conformal theory limit is also analyzed. It turns out that if we allow the violating fields to transform, the classical conformal invariance of massless scalar fields can be maintained in the ξ ¼ 1=6 case. At a quantum level, the conformal symmetry is violated by a trace anomaly. As a result, the conformal anomaly and the anomaly induced effective action are evaluated in the presence of extra Lorentz-and/or CPT-violating parameters. Such gravitational effective action is important for cosmological applications and can be used for searching of Lorentz violation in the primordial Universe in the cosmological perturbations, especially gravitational waves.

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“…Nevertheless, this does not imply that they contribute to the physical processes in a negligible manner. Moreover, the presence of Lorentz-violating (LV) higher-derivative additive terms can imply in arising of large quantum corrections [10,11].…”

Section: Introductionmentioning

confidence: 99%

Higher-derivative Lorentz-breaking dispersion relations: a thermal description

Filho

Petrov

2021

Eur. Phys. J. C

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This paper is devoted to study the thermal aspects of a photon gas within the context of Planck-scale-modified dispersion relations. We study the spectrum of radiation and the correction to the Stefan–Boltzmann law in different cases when the Lorentz symmetry is no longer preserved. Explicitly, we examine two models within the context of CPT-even and CPT-odd sectors respectively. To do so, three distinct scenarios of the Universe are considered: the Cosmic Microwave Background (CMB), the electroweak epoch, and the inflationary era. Moreover, the equations of state in these cases turn out to display a dependence on Lorentz-breaking parameters. Finally, we also provide for both theories the analyses of the Helmholtz free energy, the mean energy, the entropy and the heat capacity.

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Renormalization in a Lorentz-violating model and higher-order operators

Cited by 12 publications

References 77 publications

Radiative corrections and Lorentz violation

Radiative corrections and Lorentz violation

One-loop renormalization of Lorentz and CPT -violating scalar field theory in curved spacetime

Higher-derivative Lorentz-breaking dispersion relations: a thermal description

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